Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6852/679, 9642/6102 quickly i.e. 11011164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6852/679, 9642/6102 is 11011164.
LCM(6852/679, 9642/6102) = 11011164
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6852/679,9642/6102
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 6852,9642
Least Common Multiple of Numerators i.e. LCM of 6852,9642 is 11011164.
GCF of Denominators means GCF of 679,6102 as per the given fractions.
GCF of 679,6102 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6852,9642
2 | 6852, 9642 |
3 | 3426, 4821 |
1142, 1607 |
∴ So the LCM of the given numbers is 2 x 3 x 1142 x 1607 = 11011164
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 6852,9642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6852,9642) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(6852,9642) x common factors =6 x 1 = 6
LCM(6852,9642) = ( 6852 × 9642 ) / 6
LCM(6852,9642) = 66066984 / 6
LCM(6852,9642) = 11011164
Lets's calculate GCF of 679,6102
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11011164/1
Therefore the LCM of Fractions 6852/679,9642/6102 is 11011164
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 6102
List of positive integer factors of 6102 that divides 6102 without a remainder.
1,2,3,6,9,18,27,54,113,226,339,678,1017,2034,3051,6102
Greatest Common Factor
We found the factors 679,6102 . The biggest common factor number is the GCF number.
So the greatest common factor 679,6102 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 6852/679, 9642/6102?
Answer: LCM of Numerators as per given numbers 6852/679, 9642/6102 is
LCM of Numerators i.e. for 6852,9642 is 11011164
GCF of denominators i.e. for 679,6102 is 1.
Thus, LCM of Fractions is 11011164.Finally, LCM of Fractions for 6852/679, 9642/6102 is 11011164.